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Finding the Fourth Proportional to 35,803.42, 53,701 and 9,510.28

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Solution

The fourth proportional to 35,803.42, 53,701 and 9,510.28 is: 14,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,803.42 : 53,701 = 9,510.28 : x
  2. Step 2: Convert to fraction form
    35,803.42/53,701 = 9,510.28/x
  3. Step 3: Cross multiply
    35,803.42x = 53,701 × 9,510.28
  4. Step 4: Simplify right side
    35,803.42x = 510,711,546.28
  5. Step 5: Solve for x
    x = 510,711,546.28/35,803.42
  6. Step 6: Final answer
    x = 14,264.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.